2000018305

Level: 
Project ID: 
2000018305
Accepted: 
0
Clonable: 
0
Easy: 
1
Consider three matrices \[ A = \left (\array{ 3 &4\cr 1 & 2\cr } \right ),~ B = \left (\array{ 1 &1\cr 0&1\cr } \right ),~ C = \left (\array{ 1 &0\cr 1&1\cr } \right ). \] Let \(E\) denote the identity matrix of order \(2\). Then, find \(X\), which is the solution to the following equation. \[ C \cdot (A+X)\cdot B=E\]
\( X = \left (\array{ -2 &-5\cr -2& 0\cr } \right ) \)
\( X = \left (\array{ -2 &-5\cr 2& 0\cr } \right ) \)
\( X = \left (\array{ -2 &5\cr -2& 0\cr } \right ) \)
\( X = \left (\array{ -2 &5\cr 2& 0\cr } \right ) \)